Universal Behavior of Correlations between Eigenvalues of Random Matrices

Abstract

The universal connected correlations proposed recently between eigenvalues of unitary random matrices is examined numerically. We perform an ensemble average by the Monte Carlo sampling. Although density of eigenvalues and a bare correlation of the eigenvalues are not universal, the connected correlation shows a universal behavior after smoothing.

ISSP-September-1994

References in corpus (2)

• Correlation Functions in Disordered Systems
• Universality of Brezin and Zee's Spectral Correlator

Cited by in corpus (7)

• Random-Matrix Theory of Quantum Transport
• Breakdown of universality in multi-cut matrix models
• Law of addition in random matrix theory
• Correlations between eigenvalues of large random matrices with independent entries
• Breakdown of Universality in Random Matrix Models
• Classes of non-Gaussian random matrices: long-range eigenvalue correlations and non-ergodic extended eigenvectors
• Numerical Simulation of GUE Two-Point Correlation and Cluster Functions